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24243806440 = 2357235172
BaseRepresentation
bin10110100101000010…
…110010000011101000
32022120120222222021001
4112211002302003220
5344122403301230
615045404524344
71515532645300
oct264502620350
968516888231
1024243806440
11a310aa6677
1248472506b4
1323949808c9
14125db82600
1596d6000ca
hex5a50b20e8

24243806440 has 72 divisors (see below), whose sum is σ = 63472499910. Its totient is φ = 8309798784.

The previous prime is 24243806413. The next prime is 24243806441. The reversal of 24243806440 is 4460834242.

It can be written as a sum of positive squares in 3 ways, for example, as 23901778404 + 342028036 = 154602^2 + 18494^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 24243806440.

It is not an unprimeable number, because it can be changed into a prime (24243806441) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6891562 + ... + 6895078.

Almost surely, 224243806440 is an apocalyptic number.

24243806440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24243806440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31736249955).

24243806440 is an abundant number, since it is smaller than the sum of its proper divisors (39228693470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

24243806440 is an frugal number, since it uses more digits than its factorization.

24243806440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7059 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

The spelling of 24243806440 in words is "twenty-four billion, two hundred forty-three million, eight hundred six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 3517 7034 14068 17585 24619 28136 35170 49238 70340 98476 123095 140680 172333 196952 246190 344666 492380 689332 861665 984760 1378664 1723330 3446660 6893320 12369289 24738578 49477156 61846445 86585023 98954312 123692890 173170046 247385780 346340092 432925115 494771560 606095161 692680184 865850230 1212190322 1731700460 2424380644 3030475805 3463400920 4848761288 6060951610 12121903220 24243806440